12717728975376 has 120 divisors (see below), whose sum is σ = 37324921364640. Its totient is φ = 4191610934016.

The previous prime is 12717728975363. The next prime is 12717728975377. The reversal of 12717728975376 is 67357982771721.

12717728975376 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 7 + 7 + 2 + 89 + 7 + 537 + 6 = 666.

It is a super-2 number, since 2×12717728975376² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12717728975377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18030490 + ... + 18722553.

It is an arithmetic number, because the mean of its divisors is an integer number (311041011372).

Almost surely, 2^{12717728975376} is an apocalyptic number.

12717728975376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12717728975376 is an abundant number, since it is smaller than the sum of its proper divisors (24607192389264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12717728975376 is an equidigital number, since it uses as much as digits as its factorization.

12717728975376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36753155 (or 36753137 counting only the distinct ones).

The product of its digits is 435637440, while the sum is 72.

The spelling of 12717728975376 in words is "twelve trillion, seven hundred seventeen billion, seven hundred twenty-eight million, nine hundred seventy-five thousand, three hundred seventy-six".